Quant Quiz-V

1. A dealer sells an item for Rs 667, and makes a profit of 16%. He sells another item at a loss of 10% and in whole process he makes no profit no loss. What was the cost of second item ?

(a)    Rs. 900

(b)   Rs. 920

(c)    Rs. 950

(d)   Rs. 980

(e)   None of these

2. A mixture contains milk and water in the ratio of 4 : 3 on adding 5 liter of water the ratio of milk and water becomes 9 : 8. Find the quantity of water in the mixture ?

(a)    9 liter

(b)   15 liter

(c)    21 liter

(d)   24 liter

(e)   27 liter

3. In how many ways can a party of 6 men and 6 women be seated at a round table, so that no two women are adjacent ?

(a)    518400

(b)   86400

(c)    14400

(d)   1440

(e)   840

4. 8 men can complete a piece of work in 15 days and 7 women can complete the same piece of work in 25 days. If all the 8 men and 7 women work together, in how many days will the work get completed ?

(a)    7(3/5) days

(b)   6(2/3) days

(c)    9(3/8) days

(d)   9(2/3) days

(e)   9 days

5. In an examination a student attempted all 60 questions. He gets 2 marks for every right answer and minus 1 marks for each wrong answer. Find how many wrong questions were he attempted if got total 72 marks ?

(a)    24

(b)   36

(c)    16

(d)   20

(e)   None of these

6. Average monthly salary of 8 technicians of a workshop was Rs. 1200 and average monthly salary of non-technician was Rs.300. Find total number of employee of this workshop if average monthly salary of all the employee was Rs.500 ?

(a)    16

(b)   28

(c)    56

(d)   40

(e)   None of these

7. A shopkeeper buys some quantity of lemon at the rate 3 in Rs. 2 and buys same quantity of lemon at the rate 2 in Rs 3. He sold all of them at the rate 5 in Rs. 5. If during the transaction the shopkeeper losses Rs. 30. Find the quantity of the first types of lemon that he mixed ?

(a)    360

(b)   280

(c)    180

(d)   Cannot be determined

(e)   None of these

8. A shopkeeper gives two successive discount of 50% and 40% respectively. If second discount is Rs.180. Find selling price of this article ?

(a)    900

(b)   270

(c)    370

(d)   570

(e)   None of these

9. A man travels 25% part of the Journey at the speed of 50 km/hr, next 60 % part of the journey at the speed of 40 km/hr. and rest part of the journey at the speed of 20 km/hr. Find average speed of the men during whole journey ?

(a)    34(4/11) km/hr

(b)   37(4/11) km/hr

(c)    36(4/11) km/hr

(d)   80 km/hr

(e)   None of these

10. When a train is running at 3/5 of its usual speed, it got late by 30 minutes to cover a certain distance. Find the actual time to cover by the train?

(a)    55 minutes

(b)   45 minutes

(c)    60 minutes

(d)   75 minutes

(e)   None of these

Answers :)

1. (b) Rs. 920

CP of 1st item = 667x100/116 = 575

Profit = 667-575= 92

Now, in whole transaction he neither gains nor losses

So profit on first = loss on second

Let the cost of second be x

Loss = 10%

Loss = 0.1x or x/10

x/10 = 92 == > x= 920.

2. (e)27 litres

Let the quantity of milk and water be 4x and 3x respectively.

Now, 4x/(3x+5) = 9/8

32x = 27x+45

Therefore, X= 45/5 = 9

Quantity of water = 3x = 27litres.

3. (b) 86400

First the six men can sit on round table in (6-1)! = 5! Ways

Now, for no two women adjacent, there are six vacant seat between each pair of men.

So number of ways 6 women can sit on these six vacant seat is 6P6 = 6! Ways.

So total number of arrangements = 5!x6! = 120x720 = 86400.

4. (c) 9(3/8) days.

Let the total work be 15x25.

Now, efficiency of 8 men = 15x25/15 = 25

Efficiency of 7 women = 15x25/25 = 15

Total efficiency = 15+25 = 40

Time = 15x25/40 = 75/8 = 9(3/8) days.

5. (c) 16

If no wrong answer wud have given , he wud have scored 60x2= 120

But, he scored = 72

He lost = 120-72 = 48 marks

For each question answered wrongly he lost 2 marks of that question and 1 marks as penalty i.e., 3 mraks.

So wrong answered questions = 48/3 = 16.

Alternate:-

Let he attempted x correct and y wrong question

2x-y = 72 and x+y = 60

Solving, we get x= 44 and y = 16

Hence, he answered 16 questions wrongly.

6.  (e) None of these

Let the number of non technician be X

1200x8 + 300*X = (8+X)*500

9600+300X = 4000+500X

X= 28

Total number of employees = 28+8 = 36.

7. (c) 180

Let No. of Ist type of lemon = No. of IInd type of lemon = X

CP = 2X/3 + 3X/2 = 13X/6

SP = 2X*5/5 = 2X.

Loss = 30

13X/6 – 2X = 30

13X-12X = 180 == > X= 180

8. (b) 270

Let CP be 100

100---(-50%)--->50---(-40%)-->30.

SP =30, when CP =100 and Second Discount = 50-30 = 20.

Now, 2nd Discount of 20 ---------> SP = 30

2nd Discount of 180 ------------>SP = 30x180/20 = 270.

Alternate Method:-

Let cost of article after first discount is X.

X*40/100 = 180

== > X= 450.

SP after second Discount = 450-180 = 270

9. (c) 36(4/11) km/hr

Let the total distance be 100km.

Now, ATQ

25km @ 50kmph will take = 1/2 hrs

60km @ 40kmph will take = 3/2 hrs

15km @20kmph will take = 3/4 hrs

Total time = 1/2+3/2+3/4 = 11/4hrs.

Avg Speed = 100x4/11 = 36(4/11) km/hr.

10. (b) 45 minutes

Quant Quiz-IV

1. A man can row 18 km. upstream and 36 km downstream in 9 hours. Also he can row 15 km upstream and 60 km. downstream in 10 hours. What is the rate of current ?

(a)    3 km/hr

(b)   4.5 km/hr

(c)    5 km/hr

(d)   6  km/hr

(e)   7.5 km/hr

2. If 6 men and 15 women can earn Rs. 7350 in 7 days and 10 men and 5 women can earn Rs. 10450 in 11 days. In what time 8 men and 8 women can earn Rs. 19320 ?

(a)     15 days

(b)    16 days

(c)    18 days

(d)     20 days

(e)   None of these

3. The width of a rectangle is 65% of its length. If the area of the rectangle is 2340 sq. metre then what is the difference between the length and width of the rectangle ?

(a)    18 meter

(b)   21 meter

(c)    24 meter

(d)   32 meter

(e)  39 meter

4. The breadth of a room is 3/8 times its length. The cost of carpeting it at Rs. 13.5 per sq. metre is Rs. 15876 and the cost of painting the four walls at Rs. 5 per square metre is Rs. 6160. What is the height of the room ?

(a)    5 meter

(b)   6 meter

(c)    7 meter

(d)   8 meter

(e)   9 meter

5. A rectangular tank is 24 metres long and 11 metres deep. If 1260 cu. metre of water be drawn from the tank, the level of the water goes down by 3 metres. How many cubic metres of water the tank can hold ?

(a)    4050 cu. m

(b)   4180 cu. m

(c)    4260 cu. m

(d)   4480 cu. m

(e)   4620 cu. m

6. What is the total number of solid sphere, each of diameter 9 cm, which could be moulded to form a solid metal cylinder of height 94.5 cm. and diameter 6 cm ?

(a)    4

(b)   5

(c)    6

(d)   7

(e)   8

7.  Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?

(a)    4 min.

(b)   5 min.

(c)    6 min.

(d)   7 min.

(e)   8 min.

8. Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?

(a)    3 days

(b)   18 days

(c)    20 days

(d)   24 days

(e)   20 days or 3 days

9. A shopkeeper bought a bat and sold it at a loss of 15 %. If he had bought it for 20 % less and sold it for Rs.147.2 more, he would have had profit of 35 %. What is the cost price of bat ?

(a)    Rs. 540

(b)   Rs. 600

(c)    Rs. 625

(d)   Rs. 640

(e)   Rs. 720

10. Two equal amounts are deposited in two bank at same interest rate 12% p.a. for 7 years and 4.5 years respectively. If the different between the interest is Rs. 585 then what was each amount ?

(a)    1650

(b)   1750

(c)    1850

(d)   1950

(e)   2050

11. An amount of money grows up to Rs. 3136000 in 2 years, and up to Rs. 3512320 in 3 years, on compound interest. What is the rate of interest per annum ?

(a)    5%

(b)   8%

(c)    10%

(d)   12%

(e)   15%

1.  (b) 4.5 km/hr

Let the upstream rate be x km/hr and downstream rate be y km/hr.

And let 1/x = u and 1/y = v

18/x + 36/y = 9

== > 2u + 4v = 1…… (i)

Again, 15/x + 60/y = 10

== > 3/x + 12/y = 2

== > 3u + 12v = 2….. (ii)

Solving (i) and (ii), we get u = 1/3 and v= 1/12

== > x= 3, y= 12

Rate of current = (12-3)/2 = 9/2 = 4.5km/hr

2. Let the daily earning of a Man and Women be X and Y respectively.

Now, 6X + 15Y = 7350/7 = 1050

== > 2X+5Y = 350….(i)

Also, 10X + 5Y = 10450/11 = 950

== > 2X+ Y = 190….. (ii)

Solving (i) and (ii) we get X= 75 and Y = 40

Daily earning of 8 men and 8 women = 75x8 + 40x8 = 920

No of days = 19320/920 = 21

3. (b) 21 meter

Let the length be ‘x’ therefore width = 65x/100= 13x/20

Hence, x*13x/20 = 2340

== > x^2= 180x20 = 3600== > x= 60 = length

Difference = 35% of 60 = 35x60/100 = 21m

4. (d) 8 meter

Let the length of the room be x , so, breadth = 3x/8

Area = 3x^2/8 = 15876/13.5 = 1176

Therefore, x^2 = 3136== > x= 56= length

Breadth = 3x/8 = 21 m

Area of four walls = 6160/5 = 2h(l+b)

Area of four walla = 1232 = 2h(56+21)= 2hx77

Therefore, h = 1232/2x77 = 8 metre.

5. (e) 4620 cu. m

Let the breadth of tank be x

Volume of water = 24*x*3 = 1260 == > x= 17.5 m

Volume of tank = 24*17.5*11 = 4620 cu. m

6. (d) 7

Volume of sphere = 4πr^3/3 = 4π(4.5)^3/3 = 121.5π

Volume of cylinder = πr^2h = πx9x94.5

No. of sphere = 9x94.5xπ/ (121.5xπ) = 7

7. (b) 5 min

Let the total work be 120

Now, Efficiency of P1 = 120/24 =5

Efficiency of P2 = 120/30 =4

Efficiency of A+B together = 5+4= 9/min

Now, Let P2 be closed after X min.

If P2 would nt have closed , it would have done (20-X)mins more work

Extra Work = 4(20-X)

Suppose P2 nt closed then extra work will be added to the total wrk so as to take a total of 20 min

Now, Total work = 120+4(20-X)

Time = 20

Efficiency together =9

20x9 = 120+4(20-X)

4x = 200-180 = 20

X= 5min

Hence, P2 was closed after 5 mins.

8.  (c) 20 days

Let Ravi takes x days, mohan will take (x-8) days

Now, Suppose total work be x(x-8)

Efficiency of Ravi = x-8

Efficiency of Mohan = x

Efficiency of Ravi+mohan = 2x-8

Time = 7.5 days

Work = x(x-8)

Therefore, x(x-8)/ 2x-8 = 7.5

== > x(x-8) = 15x-60

== > x^2-23x+60 = 0

Solving , we get x= 3 or 20

3 will be neglected as this implied that mohan will do it in -5 days, which is practically nt possible.

9. (d) Rs. 640

Let CP be X, then SP = 85X/100 = 17X/20

If Case,

CP = 80X/100 = 4X/5

SP = (17X/20) + 147.20

Profit = 35%

SP = 135x4X/500

SP = (17X/20) + 147.20

Therefore, Comparing both we get,

27X/25 = (17X+2944)/20

540X-425X = 25x2944

115X= 25x2944

X= 25x2944/115 = 5x128 = 640

10. (d) 1950

Acc to question Sum ,P is same R= 12% in both case

Then Interest of Rs.585 will be the interest of the difference of time period= (7-4.5)= 2.5 years

Now, P = 100xSI/RT = 100x585/12x2.5

P = 100x585//30 = 1950

11. (d) 12%

Compound Interest for 3rd year = 3512320-3136000 = 376320 which is SI for 1 year on Rs.3136000.

R= 100xSI/PT = 100x376320/3136000

R = 12% 

Reasoning Quiz

Directions (Q. 1-5): Study the following information carefully answers the given questions.
Eight people- M, N, O, P, R, S, T and U representing four countries, India, China, Spain and Russia are sitting around a circular table facing the centre of the table, in an international event. Two people are representing each countries, but not necessarily in the same order. People are from different professions i.e. -Doctor, Author, Banker, Engineer, Politician, Scientist, Economist and Entrepreneur. No two representatives of the same countries are sitting adjacent to each other except those of China. Engineer is sitting on the immediate left of the entrepreneur. R is neither the Entrepreneur nor the Banker. U, the Scientist, represents Spain and is sitting immediate left of N, who represents China. N is not the Banker. S is Politician and is from China, who is sitting opposite to T. Only Author M is sitting between Engineer T and the Economist. Representatives of India are sitting opposite to each other. Both the representative of Russia is sitting adjacent to representative of India. P is not the entrepreneur.

1. Who is the Doctor ?
1) N      2) P       3) O       4) R       5) None of these

2. What is the profession of O ?
1) Entrepreneur       2) Banker       3) Doctor       4) Author       5) None of these

3. Who among the following represent India ?
1) O and U       2) R and M       3) P and O       4) M and S        5) None of these

4. Who is sitting opposite to Scientist?
1) Engineer       2) Economist       3) Author       4) Banker        5) None of these

5. Which of the following pair sitting adjacent to Politician?
1) N and U       2) R and P           3) P and U       4) U and O       5) None of these

Direction (Q. 6-10): Study the following information carefully to answer the given questions :
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input : fire 78 36 small 29 light will 27 48 hut 66 take.
Step - I : 78 fire 36 small 29 light 27 48 hut 66 take will.
Step -II: 66 78 fire 36 small 29 light 27 48 hut will take.
Step -III: 48 66 78 fire 36 29 light 27 hut will take small.
Step-IV: 36 48 66 78 fire 29 27 hut will take small light.
Step-V: 29 36 48 66 78 fire 27 will take small light hut.
Step-VI: 27 29 36 48 66 78 will take small light hut fire.
Step VI is the last step of the above input. As per rules followed in the above steps, find out in each of the following questions the appropriate steps for the given input.
Input: 90 reason 34 sign 30 pet 18 25 take night 72 means 14 use.

6. How many steps will be required to complete the rearrangement?
1) Five       2) Six       3) Seven       4) Eight       5) Nine

7. In which step will there be the following output ?
14 34 72 90 reason 30 pet 18 25 night means use take sign
1) Step I        2) Step II       3) Step III       4) Step IV       5) None of these

8. Which of the following will be at the fifth position from the left in the Step IV?
1) 90       2) pet       3) 18       4) 72       5) None of these

9. Which of the following represent the position of 'use' in step III ?
1) Fifth from right           2) Sixth from left           3) Fifth from left
4) Fourth from right          5) Sixth from right

10. Which element is third to the left of sign in step V ?
1) 18         2) 90         3) night         4) means         5) None of these

Answers:)

(Q. 6-10): The rearrangement take place in such a way that numbers are arranged from left side with the largest numbers placed in alternative steps while words are arranged from right side in reverse alphabetical order.

Input : 90 reason 34 sign 30 pet 18 25 take night 72 means 14 use.
Step I : 72 90 reason 34 sign 30 pet 18 25 night means 14 use take.
Step II: 34 72 90 reason 30 pet 18 25 night means 14 use take sign.
Step III: 30 34 72 90 pet 18 25 night means 14 use take sign reason.
Step IV: 25 30 34 72 90 18 night means 14 use take sign reason pet.
Step V: 18 25 30 34 72 90 means 14 use take sign reason pet night.
Step VI: 14 18 25 30 34 72 90 use take sign reason pet night means.

6.2                7.5            8.1                9.4                 10.5

Reasoning

Directions (Q. 1-5): Study the following information and answer the following questions:

There are 7 bidder- P, Q, R, S, T, U and W - in a Auction. Each of them has a different favorite things, viz. Painting, Book, Furniture, Music Instrument, Chandelier, Idols and carpets. Each of the bidder bids different price for his favorite thing. R has bids second highest bid and neither Painting nor Music-instrument is his favorite thing. T bids the least price and neither Idol nor Book is his favorite thing. The favorite thing of S is furniture and he bids more price than the price of Q and W but less than the price of P. The favorite thing of Q is Chandelier and his price is more then the price of T but less than the price of W.

The favorite thing of P is carpet and he has not bid the highest price. The bidder whose favorite thing is Music instrument bet the highest price. The favorite thing of R is not book.

1. Which is the favourite thing of T?

a) Book       b) Painting          c) Chandelier            d) Data inadequate           e) None of these

2. Who bid second lowest price?

a) W            b) S                     c) R                           d) U                             e) None of these

3. Music Instrument is the favourite thing of-

a) R             b) P                     c) W                          d) U                            e) None of these

4. What is the favourite thing of W?

a) Book       b) Idols                c) Furniture              d) Either Book or Idol      e) None of these

5. When all the seven bidders are arranged according to their price in the favourite thing in which position is P from top?

a) First         b) fourth              c) Third                    d) Data inadequate           e) None of these

Direction(6-10): In each question below there are three statements followed by four conclusions numbered, I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

6. Statements:

a. No man is sky.

b. No sky is road.

c. Some men are roads.

Conclusions:

I. No road is man.

II. No road is sky.

III. Some skies are men.

IV. All roads are rnen.

1) None follows                                                       2) Only I follows

3) Only 1 and III follow                                             4) Only II & III follow

5) None of these

7. Statements:

a. Some candles are houses.

b. Some houses are trains.

c. Some trains are roads.

Conclusions:

I. Some roads are candles.

II. Some trains are candles.

III. Some roads are houses.

IV. Some candles are roads.

1) None follows                                                       2) All follow

3) Only I and II follow                                              4) Only II & III follow

5) Only III and IV follow

8. Statements:

a. No tree is fruit.

b. All fruits are stones,

c. All stones are rains.

Conclusions:

I. No stone is tree. II. No rain is tree.

III. Some rains are fruits.

IV. Some rains are trees.

1) None follows

2) Only either II or IV and III follow

3) Only either II or III and I follow

4) All follow 

5) None of these

9. Statements:

a. All books are stars.

b. Some stars are windows,

c. All windows are hills.

Conclusions:

I. Some windows are books.

II. Some hills are stars.

III. Some hills are books.

IV. Some stars are books.

1) None follows                                             2) Only I & III follow

3) All follow                                                   4) Only II & IV follow

5) None of these

10. Statements:

a. Some cats are rats,

b. All rats are bats,

c. Some bats are jungles.

Conclusions:

I. Some jungles are cats.

II. Some bats are cats.

III. Some jungles are rats.

IV. No jungles is cat.

1) None follows                                            2) Only III follows

3) Only either I or IV and III follow

4) Only either I or IV and II follow

5) None of these

Answers :)

(1-5):-

1-b               2-e              3-d               4-a              5-c

6-5

7-1

8-2

9-4

10-4

Profit And Loss - II

1. Dinesh Purchased some lemons. He purchased 3 lemons for Rs.2. He sold all the lemons and earned 25% profit. At what rate did he sell all the lemons?

(a) 4 for Rs.3

(b) 5 for Rs.4

(c) 6 for Rs.5

(d) 7 for Rs.8

(e) None of these

2. A tradesman defrauds to the extent of 10% in buying goods and also defrauds to the extent of 10% in selling. His gain percent is

(a) 21%
(b) 19%
(c) 20%
(d) 22(1/4)%
(e) None of these

3. Richa marks her goods 30% above the cost price but allows 30% discount for cash payment. If she sells the article for Rs. 2730, find her cost price.
(a) Rs. 3500
(b) Rs. 2800
(c) Rs. 2950
(d) Rs. 3000
(e) None of these

4. A reduction of 10% in the price of salt enables a person to buy 2 kg more for Rs.180. Find the reduced and the original price per kgof salt respectively.
(a) Rs 10, Rs 9
(b) Rs 9, Rs 10
(c) Rs 18, Rs 20
(d) Rs 20, Rs 18
(e) Rs 18, Rs 16.2

5. Sunil calculates his profit percentage on the selling price whereas Sujeet calculates his profit on the cost price. They find that the difference of their profits is Rs. 900. If the selling price of both of them are the same, and Sunil gets 50% profit and Sujeet gets 40% profit, then find their selling price.

(a) Rs 4200
(b) Rs 4500
(c) Rs 4000
(d) Rs 4800
(e) None of these

6. A person sells his table at a profit of 25% and the chair at a loss of 20%, but on the whole transaction he gains Rs.18. on the other hand if he sells the table at a loss of 20% and the chair at a gain of 25%, then he neither gains nor loses. Find the cost price of the table and the chair.
(a) 200,160
(b) 160,200
(c) 250,180
(d) 210,170
(e) None of these

7. A person sold his watch for Rs 24. If the percentage of his loss was equal to the cost price, then the watch would have cost him
(a) Rs. 40
(b) Rs. 60
(c) Rs. 50
(d) Rs. 80
(e) None of these

8. Two shopkeepers sells some article for Rs. 4000 each. A shopkeeper Calculates his profit percent on his CP and another calculates his profit percent wrongly on SP. What is the difference in their actual profit if both claims to have a profit of 20%?

(a) Rs.135.00/-

(b) Rs.200.00/-

(c)  Rs.233.33/-

(d) Rs.133.33/-

(e) Cannot be Determined

Answers :)

1. (c) 6 for Rs 5 

CP= 3 lemons for Rs. 2 

SP = 3 lemons for Rs. 2.5
SP will be in the multiple of 3 for Rs 2.5
hence, from options 6 for Rs 5 :)

2. (a) 21%

100----110------121
Profit 21%
In simple terms, 100 main 110 ka samaan kharidta hai
and yahi 110 ka Saman fir 121 mai bech deta hai 
So, In total he gains 21%.

3. (d) Rs. 3000

Let CP be 100----> MP= 130--->with discount of 30%----SP=91

Now, SP= 91 ------->CP = 100
SP= 2730---------> CP= 100x2730/91 = 3000

4. (b) Rs9, Rs 10

10%=2

100%=20

180/20=9(reduced price)

180/18=10(original price)

5. (a) Rs 4200

6. (a) Rs 200, Rs 160

7. (e) None of these
SP=24
Let CP be X
Loss% = X
(X-24)*100/X = X
X^2 - 100X +2400= 0
X= 60 or 40
Hence, None of these

8. (d) Rs. 133.33
In first Case,
SP=4000
Profit= 20%ofCP
SP=120%of CP
CP= 4000x100/120 = Rs.3333.33/-
Profit= Rs.666.66
In Second Case,
SP=4000 
Profit= 20% of SP
Profit= 800
So, The difference in profit = Rs133.33